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Finding the Third Proportional to 300,824 and 451,301

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Solution

The third proportional to 300,824 and 451,301 is: 677,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,824 : 451,301 = 451,301 : x
  2. Step 2: Convert to fraction form
    300,824/451,301 = 451,301/x
  3. Step 3: Cross multiply
    300,824x = 451,301 × 451,301
  4. Step 4: Simplify right side
    300,824x = 203,672,592,601
  5. Step 5: Solve for x
    x = 203,672,592,601/300,824
  6. Step 6: Final answer
    x = 677,049.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.